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On a conjecture of Hughes

Published online by Cambridge University Press:  24 October 2008

Judita Cofman
Judita Cofman
Affiliation:
Imperial College, London
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Extract

D. R. Hughes stated the following conjecture: If π is a finite projective plane satisfying the condition: (C)π contains a collineation group δ inducing a doubly transitive permutation group δ* on the points of a line g, fixed under δ, then the corresponding affine plane πg is a translation plane.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 3 , July 1967 , pp. 647 - 652
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

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